Question

A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 1616 phones from the manufacturer had a mean range of 12201220 feet with a standard deviation of 4141 feet. A sample of 1111 similar phones from its competitor had a mean range of 12001200 feet with a standard deviation of 2525 feet. Do the results support the manufacturer's claim? Let μ1μ1 be the true mean range of the manufacturer's cordless telephone and μ2μ2 be the true mean range of the competitor's cordless telephone. Use a significance level of α=0.1α=0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

1. State the null and alternative hypotheses for the test.

2.Compute the value of the t test statistic

3. Determine the Decision rule for rejecting the null hypothesis

4. State the Test's Conclusion

Answer 1